{"title":"Fuzzy Ideals of C-Algebras","authors":"Berhanu Assaye Alaba, Gezahagne Mulat Addis","doi":"10.22457/ijfma.v16n1a4","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the notion of fuzzy ideals in -algebras and investigate some of their properties. Mainly, we give an algebraic characterization for fuzzy ideals generated by fuzzy sets. Furthermore, it is proved that the class of fuzzy ideals of a −algebra forms an algebraic lattice.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"179 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Fuzzy Mathematical Archive","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/ijfma.v16n1a4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, we introduce the notion of fuzzy ideals in -algebras and investigate some of their properties. Mainly, we give an algebraic characterization for fuzzy ideals generated by fuzzy sets. Furthermore, it is proved that the class of fuzzy ideals of a −algebra forms an algebraic lattice.
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